English

Gordian Unlinks

Geometric Topology 2025-02-13 v1

Abstract

This paper gives the first examples of gordian unlinks. The components of these unlinks cannot be separated while maintaining constant length and thickness. We construct infinite families of 2-component gordian unlinks and also construct nn-component gordian unlinks for each n2n \geq 2.

Keywords

Cite

@article{arxiv.2502.08499,
  title  = {Gordian Unlinks},
  author = {José Ayala and Joel Hass},
  journal= {arXiv preprint arXiv:2502.08499},
  year   = {2025}
}
R2 v1 2026-06-28T21:41:51.064Z